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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 6: Q 6.28TI (page 580)

Factor completely, $6 y^{3} + 18 y^{2} - 60 y$

Short Answer

Expert verified

The factored form is $6 y (y - 2) (y + 5)$

Step by step solution

Given information

Given polynomial $6 y^{3} + 18 y^{2} - 60 y$

Calculate the GCF and factor it

The GCF is $6 y$ so factoring it, we get

$6 y (y^{2} + 3 y - 10)$

Create the factor table for the trinomial

The table is

Factors of $- 10$	Sum of factors
$1, 10$	$1 + 10 = 11$
$5, - 2$	$5 - 2 = 3$

Substitute the values to form the factored form

The factored form is $6 y (y - 2) (y + 5)$

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Most popular questions from this chapter

Factor by Grouping
In the following exercises, factor by grouping.

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In the following exercises, factor completely using the sums and differences of cubes pattern, if possible.
$216 a^{3} + 125 b^{3}$

In the following exercises, factor completely.

${(y - 3)}^{3} - 64 y^{3}$

Factor by Grouping In the following exercises, factor by grouping.

$u v - 9 u + 2 v - 18$

In the following exercises, factor completely using the sums and differences of cubes pattern, if possible.
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Factor completely, $6 y^{3} + 18 y^{2} - 60 y$

Short Answer

Step by step solution

Given information

Calculate the GCF and factor it

Create the factor table for the trinomial

Substitute the values to form the factored form

One App. One Place for Learning.

Most popular questions from this chapter

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Factor completely,6y3+18y2-60y

Short Answer

Step by step solution

Given information

Calculate the GCF and factor it

Create the factor table for the trinomial

Substitute the values to form the factored form

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Logic and Functions

Probability and Statistics

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Factor completely, $6 y^{3} + 18 y^{2} - 60 y$